For the Birria:
- 2 pounds boneless chuck
- 1 pound oxtail or bone-in short ribs
- 1 teaspoon neutral oil (e.g., avocado or vegetable oil)
For the Sauce:
- 7 ancho chiles (trimmed and de-seeded)
- 7 guajillo chiles (trimmed and de-seeded)
- 3 chiles de árbol (trimmed and de-seeded)
- 1 white onion (peeled and halved)
- 6 garlic cloves (peeled)
- 4 Roma tomatoes
- 1 tablespoon black peppercorns
- 1 teaspoon dried Mexican oregano
- 1 teaspoon cumin seeds
- 1 teaspoon coriander seeds
- 1/4 teaspoon ground cloves
- 1/2 Mexican cinnamon stick
- 3 bay leaves
- 1 teaspoon apple cider vinegar
- 3 cups beef broth or water (divided)
For Assembling the Tacos:
- Corn tortillas (12–16)
- Shredded Oaxacan cheese or mozzarella
- Chopped cilantro
- Diced white onion
- Lime wedges